72642000 has 80 divisors (see below), whose sum is σ = 234217152. Its totient is φ = 19369600.

The previous prime is 72641999. The next prime is 72642019. The reversal of 72642000 is 24627.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54 + ... + 12053.

Almost surely, 2^72642000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117108576).

72642000 is an abundant number, since it is smaller than the sum of its proper divisors (161575152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72642000 is a wasteful number, since it uses less digits than its factorization.

72642000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12133 (or 12117 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 72642000 is about 8523.0276310710. The cubic root of 72642000 is about 417.2496018452.

Adding to 72642000 its reverse (24627), we get a palindrome (72666627).

The spelling of 72642000 in words is "seventy-two million, six hundred forty-two thousand".